SOLUTION: I have been struggling with this word problem and I was wondering if someone could help me? Please and Thank you!! I would deeply appreciate it. Problem Solving: Using Systems

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Question 159455This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling with this word problem and I was wondering if someone could help me? Please and Thank you!! I would deeply appreciate it.
Problem Solving: Using Systems
For a recent job, a plumber earned $28/h, and the plumber's apprentice earned $15/h. The plumber worked 3 hours more than the apprentice. If together they were paid $213, how much did each earn? (Hint: First write an expression for the number of hours each worked on the job.)
This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The plumber worked 3 hours more than the apprentice" __ p=a+3

"together they were paid $213" __ 28p+15a=213

substituting __ 28(a+3)+15a=213 __ 28a+84+15a=213 __ 43a=129 __ a=3

substituting __ p=(3)+3 __ p=6